10020120010013 has 2 divisors, whose sum is σ = 10020120010014. Its totient is φ = 10020120010012.

The previous prime is 10020120010003. The next prime is 10020120010039. The reversal of 10020120010013 is 31001002102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5123645021209 + 4896474988804 = 2263547^2 + 2212798^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020120010013 - 2¹⁶ = 10020119944477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020120009976 and 10020120010003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020120010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010060005006 + 5010060005007.

It is an arithmetic number, because the mean of its divisors is an integer number (5010060005007).

Almost surely, 2^{10020120010013} is an apocalyptic number.

It is an amenable number.

10020120010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020120010013 is an equidigital number, since it uses as much as digits as its factorization.

10020120010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10020120010013 its reverse (31001002102001), we get a palindrome (41021122112014).

The spelling of 10020120010013 in words is "ten trillion, twenty billion, one hundred twenty million, ten thousand, thirteen".